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Finding the Fourth Proportional to 5,666.31, 8,495.37 and 3,812.82

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Solution

The fourth proportional to 5,666.31, 8,495.37 and 3,812.82 is: 5,716.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.31 : 8,495.37 = 3,812.82 : x
  2. Step 2: Convert to fraction form
    5,666.31/8,495.37 = 3,812.82/x
  3. Step 3: Cross multiply
    5,666.31x = 8,495.37 × 3,812.82
  4. Step 4: Simplify right side
    5,666.31x = 32,391,316.64
  5. Step 5: Solve for x
    x = 32,391,316.64/5,666.31
  6. Step 6: Final answer
    x = 5,716.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.